What is the missing step in this proof

Answers are: A. CAB, ACB, EDB, DEB
B. ADE, DBE, CED, EBD
C. CAD, ACE, ADE, CED
D. CAB, EDB, ACB, DEB

Answer:

[tex]y=\frac{2}{3} x+\frac{7}{3}[/tex]

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the line we're trying to find the equation for and the given line 2x-3y=1​ must have the same slope.

1) Find the slope of 2x-3y=1​

To do this, rewrite this equation in slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

[tex]2x-3y=1[/tex]

Subtract 2x from both sides

[tex]2x-3y-2x=1-2x\\-3y=-2x+1[/tex]

Divide both sides by -3 to isolate y

[tex]\frac{-3y}{-3}=\frac{-2}{-3}x+(\frac{1}{-3} )\\y=\frac{2}{3}x-\frac{1}{3}[/tex]

Now, we can easily identify that [tex]\frac{2}{3}[/tex] is in the position of m, the slope. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept

[tex]y=\frac{2}{3} x+b[/tex]

To find the y-intercept, plug the given point P(-2,1) into the equation and solve for b

[tex]1=\frac{2}{3} (-2)+b\\1=\frac{-4}{3}+b[/tex]

Add [tex]\frac{4}{3}[/tex] to both sides of the equation

[tex]1+\frac{4}{3}= \frac{-4}{3} +b+\frac{4}{3} \\\frac{3}{3} +\frac{4}{3}= b\\\frac{7}{3}[/tex]

Therefore, the y-intercept of the line is [tex]\frac{7}{3}[/tex]. Plug this into our original equation:

[tex]y=\frac{2}{3} x+b\\y=\frac{2}{3} x+\frac{7}{3}[/tex]

I hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

it is essentially 5*5*5*5

Answer:

the measure of angle 1 should also be 71 degrees as they are corresponding angles.

Answer:

B

Step-by-step explanation:

I did the same exact question and I got it right.

Answer:

The opposite of 12 is -12.

Step-by-step explanation:

-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

All you have to do is do the negative version of that same original number.

Answer:

6

Step-by-step explanation:

number of ways to flip coin-2

number of ways to spin the spinner-3

2*3=6

6 different possible outcomes are there if he flips a coin and spins a spinner with three equal-sized sections.

A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

Caleb is designing a new board game, and is trying to figure out all the possible outcomes.

Outcome of Flipping a coin = 2 (Head or Tail)

and, Spinner had three equal sized section.

So, the number of possible outcomes

= 2 x 3

= 6

Thus, there 6 outcomes.

Learn more about Combination here:

https://brainly.com/question/28720645

#SPJ3

Answer:

the first one: 24.8

the second one: 2012

Answer:

Part 1

a) the least amount of stickers is 20

b) the most stickers you can use is 22

Step-by-step explanation:

Working on part 2

Answer:

The answer would be D.

Step-by-step explanation:

The answers is not C because your not adding, the answer is not A because its backwards And the answers is not B because it has the d on 24 but she didn't drink 24 drinks she only drank two so the answer would be D.

Answer:

A. W

Step-by-step explanation:

The table in which each x-value is related to exactly one y-value is the table that represents a function.

Form the tables given, in table W, every x-value (input) has exactly one y-value (output) that is related to it.

The correct table that represents a function is table W

For a table of values to be a function, the input values also known as the domain of the function must NOT have a repeated values.

Hence the correct table that represents a function is table W

Learn more on functions and tables here: https://brainly.com/question/3632175

Answer:

The answer is 40

Step-by-step explanation:

If you have to say how long it will take, it will take 40 min. 200÷5=40

Answer:

x = 7

Step-by-step explanation:

The segment from the centre at right angles to the chord, bisects the chord, so

x = 7

Answer:

She can only buy 12 centerpieces.

Step-by-step explanation:

To solve this question, we must first create an expression. We know that the total would be $1000. The delivery is included in that budget and it is a constant. EACH centerpiece is $80. From that information, you can build an expression.

80c + 35 = 1000

-------------------------------------

Next, you will need to solve for c, or any variable you choose. If you solve it, you will be left with:

c= 12.06

--------------------------------------

Since you cannot buy a fraction of a centerpiece, this concludes that the answer would be 12.

Good Luck!!

Brainliest?

Answer:

27

Step-by-step explanation:

looked on photomath

Answer:

Step-by-step explanation:

[tex]a_1=-4\\\\a_2=a_{1+1}=a_1+3=-4+3=-1[/tex]

Answer:

with?

Step-by-step explanation:

...............................................

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

Evaluate 13 + 6/ y when y = 6

We substitute 6 for y in the above expression

= 13 + 6/6

= 13 + 1

= 14

The answer to the the above question is 14

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

6 square units

Step-by-step explanation:

b = 3

h = 4

[tex]Area = \frac{bh}{2} = \frac{(3)(4)}{2} = 6[/tex]

Answer:

6 units

Step-by-step explanation:

A=bh/2

4×3=12

12/2=6

Answer:

f

Step-by-step explanation:

f

Answer:

9>5

Step-by-step explanation:

9 comes further in counting than 5

=9=nine=greater than five=5=five

Answer:

y = 2

Step-by-step explanation:

The way you solve this is you transform it until one side of the equation is just "y"

3y + 2 = 8   ;    subtract 2 from both sides

3y = 6   ;     divide both sides by 3

y = 2

Answer:

Rainfall amount on June 1 = ¾ inch

Step-by-step explanation:

Greatest daily rainfall in May = 1½

Rainfall amount in June 1 = ½ of 1½

Thus:

rainfall amount in June = ½ × 1½

= ½ × ³/2

= (1*3)/(2*2)

= ¾

Rainfall amount on June 1 = ¾ inch

Answer:

c because each island is 750 and if you x's 4 x750 it gives you 3,000 which is c

Answer:

C.

3,000 miles

Step-by-step explanation:

pls, tell me if wrong have a good night/day <3

Answer: (a) [tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

Given: Fraction of section of land = [tex]\dfrac{5}{6}[/tex]

Fraction of corn planted on land = [tex]\dfrac14[/tex]

The fraction of the entire section is planted with Margaret’s corn =

[tex]\dfrac{5}{6}\times\dfrac{1}{4}\\=\dfrac{5}{24}[/tex]

The correct option is (a).

The fraction of the entire section is planted with Margaret’s corn = [tex]\dfrac{5}{24}[/tex]